Theorems · Theorem · order theory

SuccOrder.nhds_eq_pure

∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [OrderTopology α] [SuccOrder α] [NoMaxOrder α]
  {a : α}, nhds a = pure a ↔ ¬Order.IsSuccLimit a

Defined in

Mathlib.Topology.Order.SuccPred

Cited by

3 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderTopologicalSpaceOrderTopologySuccOrderNoMaxOrder